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how would i do this?    2x+3=53x-1

 May 4, 2017
 #1
avatar+94526 
+2

 

2^(x + 3)  = 5^(3x - 1)  take the log of both sides

 

log 2^(x + 3)  = log 5^(3x - 1)    and we can write

 

(x + 3) log 2  = (3x - 1) log 5     simplify

 

x log 2 + 3 log 2  =  3x log 5 - log 5     rearrange as

 

x log 2 - 3x log 5   =  - 3 log 2 - log 5     multiply through by -1

 

3x log 5 - x log 2  =  3log 2 + log 5   factor the left side

 

x (3 log 5 - log 2)  = 3log 2 + log 5      divide both sides by (3 log 5 - log 2 )

 

x  =  [ 3log 2 + log 5 ] / [ 3 log 5- log 2 ]  ≈   .892

 

 

cool cool cool

 May 4, 2017
 #2
avatar
+1

Thank You!!!

Guest May 4, 2017

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